Term 1
Add the integers
-3 + 2 + -5
-6
In a bag are counters: 5 red, 3 blue, 6 green. You select a counter at random. What is the chance of selecting a red or green counter?
11/14
What is the median?
The middle number when in numerical order.
How many degrees in a straight line?
180
Evaluate:
2/3 + 1/4
11/12
If the probability of getting a hole in one at golf is 0.08, how many times should I expect to get a hole in one if I play 500 times?
0.08 x 500 = 40
Find the mean of:
4 8 10 4 8 5 2 4
5.625
Convert 5.1 L to cm3.
5100 cm3
Find 25% of $60
$15
Solve: 3(2a+1)=27
6a+3=27
6a=24
a=4
Find the median of:
4 8 10 4 8 5 2 4 9
5
Explain what SAS means when testing for congruence.
Two corresponding sides that are equal and the angle between them is the same.
Scott is paid $8.00 per hour. When he turns 16 his pay will increase to $9.00 per hour. What will be the percentage increase in his pay (to one decimal place).
12.5%
Write an equation and use it to find the value of:
Four times a number, less 5 is the same as double the number plus 3.
4x - 5 = 2x + 3
2x = 8
x = 4
The ratio of the cost price of a TV to its retail price is 5:12. If its cost price is $520, calculate the retail price.
Cost price : retail price
5 : 12
520 : x
Therefore, retail price is 12 x 104 = $1248.
A swimming pool measures 10 m long, 6 m wide and 2 m deep. What is the volume of the pool?
120 m3
Grace plans to go on holiday to India with $500 spending money. The conversion rate is $1 AUD is worth 42 INR (Indian Rupee). If she has to pay a 1.5% transaction fee, how much will she have in INR after the conversion?
Conversion = $500 x 42 = 21000 INR
Transaction fee = 1.5% of 21000 = 315 INR
Amount remaining = 20685 INR.
Substitute x = 2 and y = 4 into:
xy + x
(2) x (4) + (2) = 8+2 = 10
Determine the rule for a line with a gradient of -4 and a y-intercept of 8.
y = -4x + 8
A drink bottle (cylinder) has a radius of 5 cm and a height of 30 cm. How much water can each bottle hold?
Volume = 2356 cm3
Capacity = 2.356 L